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प्रश्न
Using the method of successive subtraction examine whether or not the following numbers is perfect cube 1331 .
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उत्तर
We have:
1331
1
1330
7
1323
19
1304
37
1267
61
1206
91
1115
127
988
169
819
217
602
271
331
331
0
∵ The subtraction is performed 11 times.
∴ \[\sqrt[3]{1331} = 11\]
Thus, 1331 is a perfect cube.
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Using the method of successive subtraction examine whether or not the following numbers is perfect cube 345 .
\[\sqrt[3]{125 \times 27} = 3 \times . . .\]
\[\sqrt[3]{1728} = 4 \times . . .\]
\[\sqrt[3]{} . . . = \sqrt[3]{7} \times \sqrt[3]{8}\]
\[\sqrt[3]{\frac{729}{1331}} = \frac{9}{. . .}\]
\[\sqrt[3]{\frac{512}{. . .}} = \frac{8}{13}\]
Making use of the cube root table, find the cube roots 7
